2 // Author: ruben.shahoyan@cern.ch 20/03/2007
4 ///////////////////////////////////////////////////////////////////////////////////
6 // Wrapper for the set of mag.field parameterizations by Chebyshev polinomials //
7 // To obtain the field in cartesian coordinates/components use //
8 // Field(double* xyz, double* bxyz); //
9 // For cylindrical coordinates/components: //
10 // FieldCyl(double* rphiz, double* brphiz) //
12 // The solenoid part is parameterized in the volume R<500, -550<Z<550 cm //
14 // The region R<423 cm, -343.3<Z<481.3 for 30kA and -343.3<Z<481.3 for 12kA //
15 // is parameterized using measured data while outside the Tosca calculation //
16 // is used (matched to data on the boundary of the measurements) //
18 // Two options are possible: //
19 // 1) _BRING_TO_BOUNDARY_ is defined in the AliCheb3D: //
20 // If the querried point is outside of the validity region then the field //
21 // at the closest point on the fitted surface is returned. //
22 // 2) _BRING_TO_BOUNDARY_ is not defined in the AliCheb3D: //
23 // If the querried point is outside of the validity region the return //
24 // value for the field components are set to 0. //
26 // To obtain the field integral in the TPC region from given point to nearest //
27 // cathod plane (+- 250 cm) use: //
28 // GetTPCInt(double* xyz, double* bxyz); for Cartesian frame //
30 // GetTPCIntCyl(Double_t *rphiz, Double_t *b); for Cylindrical frame //
33 // The units are kiloGauss and cm. //
35 ///////////////////////////////////////////////////////////////////////////////////
37 #ifndef ALIMAGWRAPCHEB_H
38 #define ALIMAGWRAPCHEB_H
42 #include <TObjArray.h>
43 #include "AliCheb3D.h"
49 class AliMagWrapCheb: public TNamed
53 AliMagWrapCheb(const AliMagWrapCheb& src);
54 ~AliMagWrapCheb() {Clear();}
56 void CopyFrom(const AliMagWrapCheb& src);
57 AliMagWrapCheb& operator=(const AliMagWrapCheb& rhs);
58 virtual void Clear(const Option_t * = "");
60 Int_t GetNParamsSol() const {return fNParamsSol;}
61 Int_t GetNSegZSol() const {return fNZSegSol;}
62 Float_t* GetSegZSol() const {return fSegZSol;}
64 Int_t GetNParamsTPCInt() const {return fNParamsTPC;}
65 Int_t GetNSegZTPCInt() const {return fNZSegTPC;}
67 Int_t GetNParamsTPCRatInt() const {return fNParamsTPCRat;}
68 Int_t GetNSegZTPCRatInt() const {return fNZSegTPCRat;}
70 Int_t GetNParamsDip() const {return fNParamsDip;}
71 Int_t GetNSegZDip() const {return fNZSegDip;}
73 Float_t GetMaxZ() const {return GetMaxZSol();}
74 Float_t GetMinZ() const {return fParamsDip ? GetMinZDip() : GetMinZSol();}
76 Float_t GetMinZSol() const {return fMinZSol;}
77 Float_t GetMaxZSol() const {return fMaxZSol;}
78 Float_t GetMaxRSol() const {return fMaxRSol;}
80 Float_t GetMinZDip() const {return fMinZDip;}
81 Float_t GetMaxZDip() const {return fMaxZDip;}
83 Float_t GetMinZTPCInt() const {return fMinZTPC;}
84 Float_t GetMaxZTPCInt() const {return fMaxZTPC;}
85 Float_t GetMaxRTPCInt() const {return fMaxRTPC;}
87 Float_t GetMinZTPCRatInt() const {return fMinZTPCRat;}
88 Float_t GetMaxZTPCRatInt() const {return fMaxZTPCRat;}
89 Float_t GetMaxRTPCRatInt() const {return fMaxRTPCRat;}
91 AliCheb3D* GetParamSol(Int_t ipar) const {return (AliCheb3D*)fParamsSol->UncheckedAt(ipar);}
92 AliCheb3D* GetParamTPCRatInt(Int_t ipar) const {return (AliCheb3D*)fParamsTPCRat->UncheckedAt(ipar);}
93 AliCheb3D* GetParamTPCInt(Int_t ipar) const {return (AliCheb3D*)fParamsTPC->UncheckedAt(ipar);}
94 AliCheb3D* GetParamDip(Int_t ipar) const {return (AliCheb3D*)fParamsDip->UncheckedAt(ipar);}
96 virtual void Print(Option_t * = "") const;
98 virtual void Field(const Double_t *xyz, Double_t *b) const;
99 Double_t GetBz(const Double_t *xyz) const;
101 void FieldCyl(const Double_t *rphiz, Double_t *b) const;
102 void GetTPCInt(const Double_t *xyz, Double_t *b) const;
103 void GetTPCIntCyl(const Double_t *rphiz, Double_t *b) const;
104 void GetTPCRatInt(const Double_t *xyz, Double_t *b) const;
105 void GetTPCRatIntCyl(const Double_t *rphiz, Double_t *b) const;
107 Int_t FindSolSegment(const Double_t *xyz) const;
108 Int_t FindTPCSegment(const Double_t *xyz) const;
109 Int_t FindTPCRatSegment(const Double_t *xyz) const;
110 Int_t FindDipSegment(const Double_t *xyz) const;
111 static void CylToCartCylB(const Double_t *rphiz, const Double_t *brphiz,Double_t *bxyz);
112 static void CylToCartCartB(const Double_t *xyz, const Double_t *brphiz,Double_t *bxyz);
113 static void CartToCylCartB(const Double_t *xyz, const Double_t *bxyz, Double_t *brphiz);
114 static void CartToCylCylB(const Double_t *rphiz, const Double_t *bxyz, Double_t *brphiz);
115 static void CartToCyl(const Double_t *xyz, Double_t *rphiz);
116 static void CylToCart(const Double_t *rphiz,Double_t *xyz);
118 #ifdef _INC_CREATION_ALICHEB3D_ // see AliCheb3D.h for explanation
119 void LoadData(const char* inpfile);
121 AliMagWrapCheb(const char* inputFile);
122 void SaveData(const char* outfile) const;
123 Int_t SegmentDimension(Float_t** seg,const TObjArray* par,int npar, int dim,
124 Float_t xmn,Float_t xmx,Float_t ymn,Float_t ymx,Float_t zmn,Float_t zmx);
126 void AddParamSol(const AliCheb3D* param);
127 void AddParamTPCInt(const AliCheb3D* param);
128 void AddParamTPCRatInt(const AliCheb3D* param);
129 void AddParamDip(const AliCheb3D* param);
130 void BuildTable(Int_t npar,TObjArray *parArr, Int_t &nZSeg, Int_t &nYSeg, Int_t &nXSeg,
131 Float_t &minZ,Float_t &maxZ,Float_t **segZ,Float_t **segY,Float_t **segX,
132 Int_t **begSegY,Int_t **nSegY,Int_t **begSegX,Int_t **nSegX,Int_t **segID);
133 void BuildTableSol();
134 void BuildTableDip();
135 void BuildTableTPCInt();
136 void BuildTableTPCRatInt();
138 void ResetTPCRatInt();
146 void FieldCylSol(const Double_t *rphiz, Double_t *b) const;
147 Double_t FieldCylSolBz(const Double_t *rphiz) const;
151 Int_t fNParamsSol; // Total number of parameterization pieces for solenoid
152 Int_t fNZSegSol; // number of distinct Z segments in Solenoid
153 Int_t fNPSegSol; // number of distinct P segments in Solenoid
154 Int_t fNRSegSol; // number of distinct R segments in Solenoid
155 Float_t* fSegZSol; //[fNZSegSol] coordinates of distinct Z segments in Solenoid
156 Float_t* fSegPSol; //[fNPSegSol] coordinated of P segments for each Zsegment in Solenoid
157 Float_t* fSegRSol; //[fNRSegSol] coordinated of R segments for each Psegment in Solenoid
158 Int_t* fBegSegPSol; //[fNPSegSol] beginning of P segments array for each Z segment
159 Int_t* fNSegPSol; //[fNZSegSol] number of P segments for each Z segment
160 Int_t* fBegSegRSol; //[fNPSegSol] beginning of R segments array for each P segment
161 Int_t* fNSegRSol; //[fNPSegSol] number of R segments for each P segment
162 Int_t* fSegIDSol; //[fNRSegSol] ID of the solenoid parameterization for given RPZ segment
163 Float_t fMinZSol; // Min Z of Solenoid parameterization
164 Float_t fMaxZSol; // Max Z of Solenoid parameterization
165 TObjArray* fParamsSol; // Parameterization pieces for Solenoid field
166 Float_t fMaxRSol; // max raduis for Solenoid field
168 Int_t fNParamsTPC; // Total number of parameterization pieces for TPCint
169 Int_t fNZSegTPC; // number of distinct Z segments in TPCint
170 Int_t fNPSegTPC; // number of distinct P segments in TPCint
171 Int_t fNRSegTPC; // number of distinct R segments in TPCint
172 Float_t* fSegZTPC; //[fNZSegTPC] coordinates of distinct Z segments in TPCint
173 Float_t* fSegPTPC; //[fNPSegTPC] coordinated of P segments for each Zsegment in TPCint
174 Float_t* fSegRTPC; //[fNRSegTPC] coordinated of R segments for each Psegment in TPCint
175 Int_t* fBegSegPTPC; //[fNPSegTPC] beginning of P segments array for each Z segment
176 Int_t* fNSegPTPC; //[fNZSegTPC] number of P segments for each Z segment
177 Int_t* fBegSegRTPC; //[fNPSegTPC] beginning of R segments array for each P segment
178 Int_t* fNSegRTPC; //[fNPSegTPC] number of R segments for each P segment
179 Int_t* fSegIDTPC; //[fNRSegTPC] ID of the TPCint parameterization for given RPZ segment
180 Float_t fMinZTPC; // Min Z of TPCint parameterization
181 Float_t fMaxZTPC; // Max Z of TPCint parameterization
182 TObjArray* fParamsTPC; // Parameterization pieces for TPCint field
183 Float_t fMaxRTPC; // max raduis for Solenoid field integral in TPC
185 Int_t fNParamsTPCRat; // Total number of parameterization pieces for tr.field to Bz integrals in TPC region
186 Int_t fNZSegTPCRat; // number of distinct Z segments in TpcRatInt
187 Int_t fNPSegTPCRat; // number of distinct P segments in TpcRatInt
188 Int_t fNRSegTPCRat; // number of distinct R segments in TpcRatInt
189 Float_t* fSegZTPCRat; //[fNZSegTPCRat] coordinates of distinct Z segments in TpcRatInt
190 Float_t* fSegPTPCRat; //[fNPSegTPCRat] coordinated of P segments for each Zsegment in TpcRatInt
191 Float_t* fSegRTPCRat; //[fNRSegTPCRat] coordinated of R segments for each Psegment in TpcRatInt
192 Int_t* fBegSegPTPCRat; //[fNPSegTPCRat] beginning of P segments array for each Z segment
193 Int_t* fNSegPTPCRat; //[fNZSegTPCRat] number of P segments for each Z segment
194 Int_t* fBegSegRTPCRat; //[fNPSegTPCRat] beginning of R segments array for each P segment
195 Int_t* fNSegRTPCRat; //[fNPSegTPCRat] number of R segments for each P segment
196 Int_t* fSegIDTPCRat; //[fNRSegTPCRat] ID of the TpcRatInt parameterization for given RPZ segment
197 Float_t fMinZTPCRat; // Min Z of TpcRatInt parameterization
198 Float_t fMaxZTPCRat; // Max Z of TpcRatInt parameterization
199 TObjArray* fParamsTPCRat; // Parameterization pieces for TpcRatInt field
200 Float_t fMaxRTPCRat; // max raduis for Solenoid field ratios integral in TPC
202 Int_t fNParamsDip; // Total number of parameterization pieces for dipole
203 Int_t fNZSegDip; // number of distinct Z segments in Dipole
204 Int_t fNYSegDip; // number of distinct Y segments in Dipole
205 Int_t fNXSegDip; // number of distinct X segments in Dipole
206 Float_t* fSegZDip; //[fNZSegDip] coordinates of distinct Z segments in Dipole
207 Float_t* fSegYDip; //[fNYSegDip] coordinated of Y segments for each Zsegment in Dipole
208 Float_t* fSegXDip; //[fNXSegDip] coordinated of X segments for each Ysegment in Dipole
209 Int_t* fBegSegYDip; //[fNZSegDip] beginning of Y segments array for each Z segment
210 Int_t* fNSegYDip; //[fNZSegDip] number of Y segments for each Z segment
211 Int_t* fBegSegXDip; //[fNYSegDip] beginning of X segments array for each Y segment
212 Int_t* fNSegXDip; //[fNYSegDip] number of X segments for each Y segment
213 Int_t* fSegIDDip; //[fNXSegDip] ID of the dipole parameterization for given XYZ segment
214 Float_t fMinZDip; // Min Z of Dipole parameterization
215 Float_t fMaxZDip; // Max Z of Dipole parameterization
216 TObjArray* fParamsDip; // Parameterization pieces for Dipole field
218 ClassDef(AliMagWrapCheb,7) // Wrapper class for the set of Chebishev parameterizations of Alice mag.field
223 //__________________________________________________________________________________________
224 inline void AliMagWrapCheb::FieldCyl(const Double_t *rphiz, Double_t *b) const
226 // compute field in Cylindircal coordinates
227 // if (rphiz[2]<GetMinZSol() || rphiz[2]>GetMaxZSol() || rphiz[0]>GetMaxRSol()) {for (int i=3;i--;) b[i]=0; return;}
228 b[0] = b[1] = b[2] = 0;
229 FieldCylSol(rphiz,b);
232 //__________________________________________________________________________________________________
233 inline void AliMagWrapCheb::CylToCartCylB(const Double_t *rphiz, const Double_t *brphiz,Double_t *bxyz)
235 // convert field in cylindrical coordinates to cartesian system, point is in cyl.system
236 Double_t btr = TMath::Sqrt(brphiz[0]*brphiz[0]+brphiz[1]*brphiz[1]);
237 Double_t psiPLUSphi = TMath::ATan2(brphiz[1],brphiz[0]) + rphiz[1];
238 bxyz[0] = btr*TMath::Cos(psiPLUSphi);
239 bxyz[1] = btr*TMath::Sin(psiPLUSphi);
244 //__________________________________________________________________________________________________
245 inline void AliMagWrapCheb::CylToCartCartB(const Double_t* xyz, const Double_t *brphiz, Double_t *bxyz)
247 // convert field in cylindrical coordinates to cartesian system, point is in cart.system
248 Double_t btr = TMath::Sqrt(brphiz[0]*brphiz[0]+brphiz[1]*brphiz[1]);
249 Double_t phiPLUSpsi = TMath::ATan2(xyz[1],xyz[0]) + TMath::ATan2(brphiz[1],brphiz[0]);
250 bxyz[0] = btr*TMath::Cos(phiPLUSpsi);
251 bxyz[1] = btr*TMath::Sin(phiPLUSpsi);
256 //__________________________________________________________________________________________________
257 inline void AliMagWrapCheb::CartToCylCartB(const Double_t *xyz, const Double_t *bxyz, Double_t *brphiz)
259 // convert field in cylindrical coordinates to cartesian system, poin is in cart.system
260 Double_t btr = TMath::Sqrt(bxyz[0]*bxyz[0]+bxyz[1]*bxyz[1]);
261 Double_t psiMINphi = TMath::ATan2(bxyz[1],bxyz[0]) - TMath::ATan2(xyz[1],xyz[0]);
263 brphiz[0] = btr*TMath::Cos(psiMINphi);
264 brphiz[1] = btr*TMath::Sin(psiMINphi);
269 //__________________________________________________________________________________________________
270 inline void AliMagWrapCheb::CartToCylCylB(const Double_t *rphiz, const Double_t *bxyz, Double_t *brphiz)
272 // convert field in cylindrical coordinates to cartesian system, point is in cyl.system
273 Double_t btr = TMath::Sqrt(bxyz[0]*bxyz[0]+bxyz[1]*bxyz[1]);
274 Double_t psiMINphi = TMath::ATan2(bxyz[1],bxyz[0]) - rphiz[1];
275 brphiz[0] = btr*TMath::Cos(psiMINphi);
276 brphiz[1] = btr*TMath::Sin(psiMINphi);
281 //__________________________________________________________________________________________________
282 inline void AliMagWrapCheb::CartToCyl(const Double_t *xyz, Double_t *rphiz)
284 rphiz[0] = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]);
285 rphiz[1] = TMath::ATan2(xyz[1],xyz[0]);
289 //__________________________________________________________________________________________________
290 inline void AliMagWrapCheb::CylToCart(const Double_t *rphiz, Double_t *xyz)
292 xyz[0] = rphiz[0]*TMath::Cos(rphiz[1]);
293 xyz[1] = rphiz[0]*TMath::Sin(rphiz[1]);